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a: =-48+27+56-48-27-36
=-96+20
=-76
b: =23-57+57-33=-10
c: =-98+12-159-12-41
=-98-200
=-298
\(\dfrac{-2}{1.3}-\dfrac{2}{3.5}-\dfrac{2}{5.7}-...-\dfrac{2}{19.21}-\dfrac{2}{21.23}-\dfrac{2}{23.25}-\dfrac{2}{25.27}-\dfrac{1}{27}\)\(=\dfrac{-2}{1.3}+\dfrac{-2}{3.5}+\dfrac{-2}{5.7}+...+\dfrac{-2}{19.21}+\dfrac{-2}{21.23}+\dfrac{-2}{23.25}+-\dfrac{2}{25.27}-\dfrac{1}{27}\)Đặt:
\(A=\dfrac{-2}{1.3}+\dfrac{-2}{3.5}+\dfrac{-2}{5.7}+...+\dfrac{-2}{19.21}+\dfrac{-2}{21.23}+\dfrac{-2}{23.25}+\dfrac{-2}{25.27}\)\(A=-1\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{25}-\dfrac{1}{27}\right)\)
\(A=-1\left(1-\dfrac{1}{27}\right)\)
\(A=-1.\dfrac{26}{27}=-\dfrac{26}{27}\)
Thay vào biểu thức ban đầu ta có:
Giá trị là:
\(-\dfrac{26}{27}-\dfrac{1}{27}=-\dfrac{27}{27}=-1\)
a) 43.27 - 43.23
= 43.(27-23)
= 43.4
= 44
b) 35.77+23.35+53.23
= 35.(77+23) + (5.2)3
= 35.100 + 103
= 35.102+ 102.10
= 102.(35+10)
= 100.45
= 4500
c) 32.5 + 23.10 - 81 : 3
= 9.5 + 8.2.5 - 27
= 5.(9+8.2) - 27
= 5.25 - 27
= 53 - 27
= 98
d) 151-291:288+13.3
= 151 - 23+3
= 151 - 8 + 3
= 146
1.
\(35\times\left(14-23\right)-23\times\left(14-35\right)\)
\(=35\times14-35\times23-23\times14+23\times35\)
\(=\left(23\times35-35\times23\right)+14\times\left(35-23\right)\)
\(=0+14\times12\)
\(=168\)
2.
\(27\times\left(13-16\right)-16\times\left(13-27\right)\)
\(=27\times13-27\times16-16\times13+16\times27\)
\(=13\times\left(27-16\right)+\left(27\times16-16\times27\right)\)
\(=13\times11+0\)
\(=143\)
3.
\(44\times\left(-36\right)+22\times\left(-28\right)\)
\(=22\times2\times\left(-36\right)+22\times\left(-28\right)\)
\(=22\times\left(-72\right)+22\times\left(-28\right)\)
\(=22\times\left[\left(-72\right)+\left(-28\right)\right]\)
\(=22\times\left(-100\right)\)
\(=-2200\)
Chúc bạn học tốt
\(\frac{7}{9}:\left(2+\frac{3}{4}.x\right)+\frac{5}{9}=\frac{23}{27}\)
\(\frac{7}{9}:\left(2+\frac{3}{4}.x\right)=\frac{23}{27}-\frac{5}{9}\)
\(\frac{7}{9}:\left(2+\frac{3}{4}.x\right)=\frac{8}{27}\)
\(2+\frac{3}{4}.x=\frac{7}{9}:\frac{8}{27}\)
\(2+\frac{3}{4}.x=\frac{21}{8}\)
\(\frac{3}{4}.x=\frac{21}{8}-2\)
\(\frac{3}{4}.x=\frac{5}{8}\)
\(x=\frac{5}{8}:\frac{3}{4}\)
\(x=\frac{5}{6}\)
\(\frac{7}{9}:\left(\frac{2+3}{4x}\right)+\frac{5}{9}=\frac{23}{27}\)
\(\Leftrightarrow\frac{7}{9}:\frac{5}{4x}=\frac{23}{27}-\frac{5}{9}\)
\(\Leftrightarrow\frac{7}{9}:\frac{5}{4x}=\frac{8}{27}\)
\(\Leftrightarrow\frac{5}{4x}=\frac{7}{9}:\frac{8}{27}\)
\(\Leftrightarrow\frac{5}{4x}=\frac{21}{8}\)
\(\Leftrightarrow4x=\frac{5.8}{21}\)
\(\Leftrightarrow4x=\frac{40}{21}\)
\(\Leftrightarrow x=\frac{40}{21}:4\)
\(\Leftrightarrow x=\frac{10}{21}\)
Vậy x = \(\frac{10}{21}\)
_Chúc bạn học tốt_
\(\left(-3\right)\cdot2^3+27:\left(-3\right)^2\)
\(=\left(-3\right)\cdot8+27:9\)
\(=-24+3\)
\(=-21\)
-6